Evaluating Risk and Return Batman Industries' and Reynolds Inc.'s stock prices and dividends, along with the Winslow 5000 Index, are shown here for the period 2008-2013. The Winslow 5000 data are adjusted to include dividends.

	Batman Industries	Reynolds Inc.	Winslow 5000
Year	Stock Prices | Divedned	Stock Prices | Divedned	Includes Divedneds
2013	$17.25 | $1.15	$48.75 | $3.00	$11,663.98
2012	14.75 | 1.06	52.30 | 2.90	8,785.70
2011	16.50 | 1.00	48.75 | 2.75	8679.98
2010	10.75 | 0.95	57.27 | 2.50	6,434.03
2009	11.37 | 0.90	60.00 | 2.25	5,602.28
2008	7.62 | 0.85	55.75 | 2.00	4,705.97

a. Use the data to calculate annual rates of return for Batman, Reynolds, and the Winslow 5000 Index. Then calculate each entity's average return over the 5-year period.

b. Calculate the standard deviations of the returns for Batman, Reynolds, and the Winslow 5000. (Hint: Use standard deviation formula)

c. Calculate the coefficients of variations for Batman, Reynolds, and the Winslow 5000.

d. Construct a scatter diagram that show's Batman's and Reynold's returns on the vertical axis and the Winslow 5000 Index's returns on the horizontal axis.

e. Estimate Batman's and Reynold's betas by running regressions of their returns against the index's returns. (Hint: Refer to Web Appendix 8A.) Are these betas consistant with your graph?

f. Assume that the risk-free rate on long-term Treasury bonds is 6.04%. Assume also that the average annual return on the Winslow 5000 is not a good estimate of the market's required return--it is too high. So use 11% as the expected return on the market. Use the SML equation to calculate the two companies' required returns.

g. If you formed a portfolio that consisted of 50% Batman and 50% Reynolds, what would the Portfolio's beta and required return be?

h. Suppose an investor wants to include Batman's Industries' stock in his portfolio. Stocks A,B,and C are currently in the portfolio; and their betas are 0.769, 0.985, and 1.423, respectivley. Calculate the new portfolio's required return if it consists of 25% of Batman, 15% of Stock A, 40% of Stock B, and 20% of Stock C.